Deepwater Surf Similarity Parameter given Mean Runup Calculator

✖Mean Runup is the average maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.ⓘ Mean Runup [R']			+10% -10%
✖Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.ⓘ Deepwater Wave Height [H_d]			+10% -10%

✖Deepwater Surf Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.ⓘ Deepwater Surf Similarity Parameter given Mean Runup [ε₀]

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Deepwater Surf Similarity Parameter given Mean Runup Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69
ε₀ = (R'/(0.88*H_d))^1/0.69
This formula uses 3 Variables

Variables Used

Deepwater Surf Similarity Parameter - Deepwater Surf Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.
Mean Runup - (Measured in Meter) - Mean Runup is the average maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.
Deepwater Wave Height - (Measured in Meter) - Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.

STEP 1: Convert Input(s) to Base Unit

Mean Runup: 43.8 Meter --> 43.8 Meter No Conversion Required
Deepwater Wave Height: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε₀ = (R'/(0.88*H_d))^1/0.69 --> (43.8/(0.88*6))^1/0.69

Evaluating ... ...

ε₀ = 12.0223978919631

STEP 3: Convert Result to Output's Unit

12.0223978919631 --> No Conversion Required

FINAL ANSWER

12.0223978919631 ≈ 12.0224 <-- Deepwater Surf Similarity Parameter

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< Irregular Waves Calculators

Runup Exceeded by 2 Percent of Runup Crests

LaTeX Go Runup Exceeded by 2 Percent of the Runup Crests = Deepwater Wave Height*1.86*Deepwater Surf Similarity Parameter^0.71

Deepwater Wave Height given Maximum Runup

LaTeX Go Deepwater Wave Height of Coast = Wave Runup/(2.32*Deepwater Surf Similarity Parameter^0.77)

Maximum Runup

LaTeX Go Wave Runup = Deepwater Wave Height of Coast*2.32*Deepwater Surf Similarity Parameter^0.77

Deepwater Surf Similarity Parameter given Maximum Runup

LaTeX Go Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)

Deepwater Surf Similarity Parameter given Mean Runup Formula

LaTeX Go

Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69
ε₀ = (R'/(0.88*H_d))^1/0.69

What is Wave Runup?

Wave runup is the maximum vertical extent of wave uprush on a beach or structure above the still water level (SWL). It is the sum of wave set-up and swash uprush (see Swash zone dynamics) and must be added to the water level reached as a result of tides and wind set-up.

How to Calculate Deepwater Surf Similarity Parameter given Mean Runup?

Deepwater Surf Similarity Parameter given Mean Runup calculator uses Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69 to calculate the Deepwater Surf Similarity Parameter, The Deepwater Surf Similarity Parameter given Mean Runup formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures. Deepwater Surf Similarity Parameter is denoted by ε₀ symbol.

How to calculate Deepwater Surf Similarity Parameter given Mean Runup using this online calculator? To use this online calculator for Deepwater Surf Similarity Parameter given Mean Runup, enter Mean Runup (R') & Deepwater Wave Height (H_d) and hit the calculate button. Here is how the Deepwater Surf Similarity Parameter given Mean Runup calculation can be explained with given input values -> 12.0224 = (43.8/(0.88*6))^1/0.69.

FAQ

What is Deepwater Surf Similarity Parameter given Mean Runup?

The Deepwater Surf Similarity Parameter given Mean Runup formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures and is represented as ε₀ = (R'/(0.88*H_d))^1/0.69 or Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69. Mean Runup is the average maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves & Deepwater Wave Height refers to the measurement of the vertical distance between the trough and the crest of a wave in deep water.

How to calculate Deepwater Surf Similarity Parameter given Mean Runup?

The Deepwater Surf Similarity Parameter given Mean Runup formula is defined as a dimensionless parameter used to model several effects of (breaking) surface gravity waves on beaches and coastal structures is calculated using Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69. To calculate Deepwater Surf Similarity Parameter given Mean Runup, you need Mean Runup (R') & Deepwater Wave Height (H_d). With our tool, you need to enter the respective value for Mean Runup & Deepwater Wave Height and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Deepwater Surf Similarity Parameter?

In this formula, Deepwater Surf Similarity Parameter uses Mean Runup & Deepwater Wave Height. We can use 3 other way(s) to calculate the same, which is/are as follows -

Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)
Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)
Deepwater Surf Similarity Parameter = (Average of the Highest 1/10 of the Runup/(Deepwater Wave Height*1.7))^(1/0.71)

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